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Simplifying 8(7 + -1p) * 8 = 16(p + -2) Reorder the terms for easier multiplication: 8 * 8(7 + -1p) = 16(p + -2) Multiply 8 * 8 64(7 + -1p) = 16(p + -2) (7 * 64 + -1p * 64) = 16(p + -2) (448 + -64p) = 16(p + -2) Reorder the terms: 448 + -64p = 16(-2 + p) 448 + -64p = (-2 * 16 + p * 16) 448 + -64p = (-32 + 16p) Solving 448 + -64p = -32 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 448 + -64p + -16p = -32 + 16p + -16p Combine like terms: -64p + -16p = -80p 448 + -80p = -32 + 16p + -16p Combine like terms: 16p + -16p = 0 448 + -80p = -32 + 0 448 + -80p = -32 Add '-448' to each side of the equation. 448 + -448 + -80p = -32 + -448 Combine like terms: 448 + -448 = 0 0 + -80p = -32 + -448 -80p = -32 + -448 Combine like terms: -32 + -448 = -480 -80p = -480 Divide each side by '-80'. p = 6 Simplifying p = 6
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